Rogers dilogarithms of higher degree and generalized cluster algebras
Quantum Algebra
2019-06-26 v4 Rings and Algebras
Abstract
In connection with generalized cluster algebras we introduce a certain generalization of the celebrated Rogers dilogarithm, which we call the Rogers dilogarithms of higher degree. We show that there is an identity of these generalized Rogers dilogarithms associated with any period of seeds of a generalized cluster algebra.
Keywords
Cite
@article{arxiv.1605.04777,
title = {Rogers dilogarithms of higher degree and generalized cluster algebras},
author = {Tomoki Nakanishi},
journal= {arXiv preprint arXiv:1605.04777},
year = {2019}
}
Comments
32 pages; v2:minor changes; v3:Prop. 4.3 added, the condition (A.11) removed; v4: Defs. 4.2 & A.4 changed + minor changes